Abstract
A set of matrix methods treating decentred optical systems in the paraxial approximation is reviewed. Misalignment phenomena of optical systems can generally be described by an augmented 4×4 matrix; propagation of optical rays in an asymmetric, inhomogeneous medium by a 3×3 matrix. In order to simplify the operations with these matrices, ray transfer flow graphs are introduced.
A lot of optical problems can be solved in a clear and simple manner, including optical arrays. Some examples are given.
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References
H. KogelnikandT. Li,Appl. Opt. 5 (1966) 1550.
A. Yariv, ‘Quantum Electronics’ (Holt, Rinehart and Winston, New York, 1975).
A. Yariv andP. Yeh,Opt. Commun. 13 (1975) 370.
U. Ganiel andA. Hardy,Appl. Opt. 15 (1976) 2145.
A. Yariv, ‘Introduction to Optical Electronics’ (Holt, Rinehart and Winston, New York, 1976).
W. Shaomin andH. Weber,Opt. Commun. 41 (1982) 360.
W. Shaomin, H. Xichun andY. Jun,Acta Opt. Sinica 3 (1983) 41 (in Chinese).
W. Shaomin andH. Weber, ‘Fundamental Modes of Stimulated Scattering Phase-Conjugate Resonators’ (to be published).
A. Gerrard andJ. M. Burch, ‘Introduction to Matrix Methods in Optics’ (John Wiley and Sons, New York, 1975).
J. A. Arnaud, ‘Beam and Fibre Optics’ (Academic Press, New York, 1976).
W. Shaomin,J. Hangzhou University 3 (1979) 42 (in Chinese).
Idem, Sci. Sinica 25 (1982) 72.
Idem, Appl. Laser 2 (1983) 13 (in Chinese).
Idem, Kexue Tongabao 28 (1983) 173.
W. Shaomin, W. Shiaojing, Y. Chengreng, C. Zuli, Z. Jingmin andJ. Jiyi,Laser J. 3 (1980) 54 (in Chinese).
X. Chang andW. Shaomin,Sci. Sinica, in press.
W. Shaomin,Nature 4 (1981) 236 (in Chinese).
H. Weigang, H. Xichun andW. Shaomin,Chin. J. Lasers 10 (1983) 58 (in Chinese).
W. Shaomin andW. Siaojing,J. Hangzhou University 9 (1982) 168 (in Chinese).
H. Xichun, H. Weigang andW. Shaomin,Acta Phys. Sinica 31 (1982) 1655 (in Chinese).
W. Shaomin,Laser J. 2 (1979) 1 (in Chinese).
Idem, J. Hangzhou University 10 (1983) 477 (in Chinese).
H. Weishai, J. Xiuming, C. Yingly, Z. Jiaju, Z. Jinmin andW. Shaomin,Chin. J. Laser 10 (1983) 191 (in Chinese).
W. Shaomin, ‘Non-gaussian imaging properties and synthetical imaging qualities of optical element arrays’, Topical meeting on Gradient-index optical imaging systems, US, May, 1984.
M. Born andE. Wolf, ‘Principles of Optics’ (Pergamon Press, Oxford, 1980).
W. Shaomin andH. Weber, ‘Matrix Optics’ (Physica-Verlag, in press).
A. Yeung, J. D. Fekete, D. M. Pepper andA. Yariv,IEEE QE-15 (1979) 1180.
R. Hauck, H. P. Hortz andH. Weber,Appl. Opt. 19 (1980) 598.
E. J. Henley andR. A. Williams, ‘Graphs Theory in Modern Engineering’ (Academic Press, New York, 1973).
V. K. Orlov, Ya. Z. Virnik, S. P. Vorotilin, V. B. Gerasimov, Yu. A. Kalinin andA. Ya. Sagalovich,Sov. J. Quantum Electr. 8 (1978) 799.
H. H. Barrett andS. F. Jacobs,Opt. Lett. 4 (1979) 190.
P. Mathieu andP. A. Belanger,Appl. Opt. 19 (1980) 2262.
S. F. Jacobs,Opt. Eng. 21 (1982) 281.
R. H. Freeman, R. J. Freiberg andH. R. Garcia,Opt. Lett. 2 (1978) 61.
T. Sato, Y. Nagura, O. Ikeda andT. Hatsuzawa,Appl. Opt. 21 (1982) 1778.
J. D. Rees,Appl. Opt. 21 (1982) 1009.
T. R. O'Meara,Opt. Eng. 21 (1982) 271.
W. Shaomin, Z. Guosheng, W. Meiying, P. Lianhui andT. Lijuan,Acta Phys. Sinica 32 (1983) 1957 (in Chinese).
W. Shaomin, Z. Jinmin, W. Shiaojing, Y. Chengreng andZ. Zexan.Appl. Laser 5 (1983) 27 (in Chinese).
W. Shaomin, Y. Chengren, T. Weiziang andZ. Zexan, An optical element formed by array whose Det=0 and its potential applications, ICO-13, Japan, August 1984.
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Shaomin, W. Matrix methods in treating decentred optical systems. Opt Quant Electron 17, 1–14 (1985). https://doi.org/10.1007/BF00619988
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DOI: https://doi.org/10.1007/BF00619988